Details

Time bar (total: 2.5s)

sample17.0ms

Algorithm
intervals
Results
7.0ms325×body80valid
0.0ms3×body1280valid
0.0ms3×body640valid
0.0ms2×body320valid
0.0ms2×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1284
2384
3414
4414

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
0.0b
(+ (* x (+ y z)) (* z 5.0))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
5.0ms
(* x (+ y z))
6.0ms
(+ (* x (+ y z)) (* z 5.0))

series57.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* x (+ y z))
32.0ms
(+ (* x (+ y z)) (* z 5.0))

simplify130.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0212186
1877169
24182168
35001168

prune83.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* y x) (* z (+ x 5.0)))
0.0b
(* z (+ x 5.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
4.0ms
(+ (* y x) (* z (+ x 5.0)))
6.0ms
(* z (+ x 5.0))

series57.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ (* y x) (* z (+ x 5.0)))
31.0ms
(* z (+ x 5.0))

simplify137.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0210182
1941168
24793168
35002168

prune82.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ y z)) (cbrt (+ y z)))
0.6b
(cbrt (+ y z))
0.6b
(cbrt (+ y z))
0.6b
(cbrt (+ y z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
12.0ms
(* (cbrt (+ y z)) (cbrt (+ y z)))
3.0ms
(cbrt (+ y z))
3.0ms
(cbrt (+ y z))
3.0ms
(cbrt (+ y z))

series554.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(* (cbrt (+ y z)) (cbrt (+ y z)))
132.0ms
(cbrt (+ y z))
125.0ms
(cbrt (+ y z))
129.0ms
(cbrt (+ y z))

simplify153.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (144.0ms)

IterNodesCost
0247671
1887634
24204580
35002576

prune267.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y x) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
0.2b
(* z (sqrt (+ x 5.0)))
0.3b
(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
14×sqrt-div associate-*r*
12×add-sqr-sqrt *-un-lft-identity
10×pow1 add-exp-log associate-*r/ add-cbrt-cube
9×sqrt-prod
8×add-cube-cbrt flip3-+ flip-+
5×add-log-exp
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ *-commutative distribute-lft-out unswap-sqr
1×+-commutative sum-log
Counts
3 → 66
Calls
3 calls:
3.0ms
(+ (* y x) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
7.0ms
(* z (sqrt (+ x 5.0)))
12.0ms
(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

series120.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (* y x) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
61.0ms
(* z (sqrt (+ x 5.0)))
33.0ms
(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

simplify61.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0362548
11704457
25002444

prune146.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes66.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
1124

end0.0ms

sample443.0ms

Algorithm
intervals
Results
215.0ms9788×body80valid
11.0ms117×body1280valid
9.0ms116×body640valid
3.0ms56×body320valid
1.0ms33×body160valid